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Finding the Third Proportional to 9,296,277 and 19,937,314

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Solution

The third proportional to 9,296,277 and 19,937,314 is: 42,758,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,277 : 19,937,314 = 19,937,314 : x
  2. Step 2: Convert to fraction form
    9,296,277/19,937,314 = 19,937,314/x
  3. Step 3: Cross multiply
    9,296,277x = 19,937,314 × 19,937,314
  4. Step 4: Simplify right side
    9,296,277x = 397,496,489,534,596
  5. Step 5: Solve for x
    x = 397,496,489,534,596/9,296,277
  6. Step 6: Final answer
    x = 42,758,675.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.